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Finding the Fourth Proportional to 12,690.68, 17,514.09 and 7,385.09

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Solution

The fourth proportional to 12,690.68, 17,514.09 and 7,385.09 is: 10,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.68 : 17,514.09 = 7,385.09 : x
  2. Step 2: Convert to fraction form
    12,690.68/17,514.09 = 7,385.09/x
  3. Step 3: Cross multiply
    12,690.68x = 17,514.09 × 7,385.09
  4. Step 4: Simplify right side
    12,690.68x = 129,343,043.35
  5. Step 5: Solve for x
    x = 129,343,043.35/12,690.68
  6. Step 6: Final answer
    x = 10,191.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.